The generator matrix

 1  0  1  1  1  1  1  1 X+6  1  1  1  1
 0  1  1  8 2X+7  6 X+6  8  1  0 X+6  6  0
 0  0 2X  0  0 X+6 2X+6 2X  6 2X+3  6 X+6  0
 0  0  0  3  0  6  0  3  6  6  0  3  0
 0  0  0  0  6  6  6  0  3  0  6  6  3

generates a code of length 13 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+106x^18+54x^19+264x^20+426x^21+1242x^22+1266x^23+8226x^24+4374x^25+20052x^26+15954x^27+4320x^28+1698x^29+708x^30+216x^31+48x^32+90x^33+4x^36

The gray image is a code over GF(3) with n=117, k=10 and d=54.
This code was found by Heurico 1.16 in 0.952 seconds.